Köbis, ElisabethTam, Le ThanhTammer, Christiane2025-05-292017https://epflicht.bibliothek.uni-halle.de/handle/123456789/4873894994646urn:nbn:de:gbv:3:2-753332580645FbTIBIn this paper, we introduce new nonlinear scalarization methods to characterize minimal elements of set-valued problems equipped with variable domination structures. For certain set relations with respect to variable domination structures, we give a characterization of these relations using corresponding nonlinear scalarizing functionals and the properties of these functionals. We describe different kinds of minimal elements to a family of sets with respect to variable domination structures. Furthermore, we investigate a descent method to find approximations of minimal solutions of set-valued problems with respect to variable domination structures using nonlinear scalarization methods. Finally, we apply the results to a set-valued problem in Medical Image Registration.1 Online-Ressource (35 Seiten, 362 KB) : Diagrammegerhttp://rightsstatements.org/vocab/InC/1.0/510Book